Stability of axisymmetric field-reversed equilibria of arbitrary ion gyroradius

Abstract
An energy principle is developed that leads to sufficient conditions for treating the low frequency stability of axisymmetric, field‐reversed equilibria, e.g., ion rings, ϑ pinches, and field reversed mirrors. Particles that carry the azimuthal current are described in the Vlasov formalism allowing for arbitrary gyroradius while the background plasma is approximated by the two‐fluid equations. Two special cases, viz., a long, thin P layer and a thin ion ring of large aspect ratio, are examined in detail.

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